What is the Greatest Common Factor of 14432 and 14440?

Greatest common factor (GCF) of 14432 and 14440 is 8.

GCF(14432,14440) = 8

We will now calculate the prime factors of 14432 and 14440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14432 and 14440.

How to find the GCF of 14432 and 14440?

We will first find the prime factorization of 14432 and 14440. After we will calculate the factors of 14432 and 14440 and find the biggest common factor number .

Step-1: Prime Factorization of 14432

Prime factors of 14432 are 2, 11, 41. Prime factorization of 14432 in exponential form is:

14432 = 2⁵ × 11¹ × 41¹

Step-2: Prime Factorization of 14440

Prime factors of 14440 are 2, 5, 19. Prime factorization of 14440 in exponential form is:

14440 = 2³ × 5¹ × 19²

Step-3: Factors of 14432

List of positive integer factors of 14432 that divides 14432 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 41, 44, 82, 88, 164, 176, 328, 352, 451, 656, 902, 1312, 1804, 3608, 7216

Step-4: Factors of 14440

List of positive integer factors of 14440 that divides 14432 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 361, 380, 722, 760, 1444, 1805, 2888, 3610, 7220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14432 and 14440. The biggest common factor number is the GCF number.
So the greatest common factor 14432 and 14440 is 8.

Also check out the Least Common Multiple of 14432 and 14440